FALL RIVER - Prosecutors filed a memorandum this week detailing what they say are specific examples of Shayanna Jenkins’ perjury to a grand jury last summer.

Prosecutors said they have “direct evidence” that Jenkins, who is former Patriots tight end Aaron Hernandez’s girlfriend, lied when she testified that she did not know why Hernandez canceled a trip to New Hampshire to meet with his lawyers.

Among their other allegations, prosecutors also say they have evidence that Jenkins lied that she saw only one gun in her North Attleborough house, as well as the circumstances surrounding her actions in removing a box of alleged evidence that Hernandez is said to have told her to discard from their home.

Hernandez, 24, is facing murder charges in Bristol and Suffolk Counties. He is accused of orchestrating the June 2013 murder of Odin Lloyd in North Attleborough, and of shooting two men to death in August 2012 after leaving a South Boston nightclub.

Prosecutors say Jenkins lied 29 times to the Bristol County grand jury, though Jenkins, through her attorney, has denied those allegations. She has pleaded not guilty to a single count of perjury, and is free on personal recognizance.

In court documents filed this week, a defense lawyer representing Tanya Singleton, Hernandez’s cousin who is charged with contempt and conspiracy to commit accessory after the fact, said Singleton did not want to testify before the grand juries in Bristol and Suffolk counties because she feared that prosecutors would also charge her with perjury if they did not like her answers.

“Had Ms. Singleton made a different choice and testified truthfully before each grand jury, she would have faced indictment for perjury because her testimony likely would not have matched what prosecutors wanted and expected to hear,” defense attorney E. Peter Parker said. “That is exactly what happened to Shayanna Jenkins, who did testify before the grand jury and now faces perjury charges because she could not remember certain specific details the Bristol County prosecutors think she should remember.”

In other matters this week, a defense attorney representing alleged accomplice Carlos Ortiz filed a request seeking $5,000 for a private investigator. Ortiz, 27, of Bristol, Conn., and Ernest Wallace, 45, of Miramar, Fla, are also both charged with murder in the Bristol County case. Both have been held on $500,000 cash bail since their arrests last summer on accessory charges.

Hernandez, who is being held without bail at a jail in Suffolk County, is scheduled to return to Fall River Superior Court on July 22 for a hearing on his lawyers’ motion requesting internal scouting reports and a psychological assessment from the New England Patriots.